In its rudimentary form, the eigenclass model can be described as a canonical structure (, ϵ)

The following diagram shows an example of the canonical structure (, ϵ), together with corresponding Python code.

The canonical structure (, ϵ) of object membership is subject to the following conditions:

A specialization of the model can be derived from the canonical structure in two steps:

The first step is necessary in most cases - of the above mentioned programming languages only Ruby and Python conform to the canonical structure.

A canonical structure of object membership with actuality is a structure (, ϵ, .

Since the model space R used above carries much canonical structure which might easily lead to misinterpretation, we will use "anonymous" vector spaces instead.

Nonetheless, the V7 implementation is considered by many to have the canonical early structure:

This has a canonical structure of a simplicial complex, as do all posets that satisfy:

The symbols and their use to build the canonical structures are shown in the diagram.